00100

The figure shows a circular bar fixed at the left end. The bar is subjected to an external vertical load of 20kN located at the midspan and a torque of 2 kN.m applied at the right end. Propose diameters D and D and the filled radius r so that the safety factor will be at least equal to three. The material corresponds to plain carbon steel (E=210 GPa, Sy=220MPa) Hint: a) Identify the beam's internal bending moment and torsion. b) Identify the critical points to evaluate the stresses. c) Propose a value for r (fillet), D, and D. Using these values, estimate the beam's stress concentration factor (INFO 6 in canvas) and identify the maximum normal stress and shear stress for the critical points selected in b). d) Use the von Mises failure theory to identify the safety factor. You need to iterate D, D, and r up to find a safety factor greater than three. e) Taking the geometry defined in d), use SolidWorks to check if the maximum von Mises stress matches the stress estimated in d).